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Finding the Fourth Proportional to 9,157.64, 12,633.95 and 5,974.67

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Solution

The fourth proportional to 9,157.64, 12,633.95 and 5,974.67 is: 8,242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.64 : 12,633.95 = 5,974.67 : x
  2. Step 2: Convert to fraction form
    9,157.64/12,633.95 = 5,974.67/x
  3. Step 3: Cross multiply
    9,157.64x = 12,633.95 × 5,974.67
  4. Step 4: Simplify right side
    9,157.64x = 75,483,589.00
  5. Step 5: Solve for x
    x = 75,483,589.00/9,157.64
  6. Step 6: Final answer
    x = 8,242.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.